Prove2Me

`BookProof.ChapterA3m.swap13_parityDiag_comm` : swap13 * parityDiag3 = parityDiag3 * swap13

Proved
BookProof.ChapterA3m.swap13_parityDiag_comm

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3m.

BookProof.ChapterA3m.swap13_parityDiag_comm : swap13 * parityDiag3 = parityDiag3 * swap13

Formalization note: Lean 4 identifier BookProof.ChapterA3m.swap13_parityDiag_comm.

Preamble
-- Generated from ChapterA3m.lean — theorem BookProof.ChapterA3m.swap13_parityDiag_comm
import Definitions.Def_ChapterA3j
import Definitions.Def_ChapterA3k
import Definitions.Def_ChapterA3l
import Mathlib
import Definitions.Def_ChapterA3m
import Definitions.Def_ChapterA3
open BookProof.ChapterA3
open BookProof.ChapterA3m


open Matrix
open scoped Kronecker


open BookProof.ChapterA3 BookProof.ChapterA3j BookProof.ChapterA3k BookProof.ChapterA3l
Formal statement
theorem BookProof.ChapterA3m.swap13_parityDiag_comm : swap13 * parityDiag3 = parityDiag3 * swap13 := by sorry

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